tsinh.c revision 1.1.1.5 
1/* Test file for mpfr_sinh.
2
3Copyright 2001-2002, 2004, 2006-2020 Free Software Foundation, Inc.
4Contributed by the AriC and Caramba projects, INRIA.
5
6This file is part of the GNU MPFR Library.
7
8The GNU MPFR Library is free software; you can redistribute it and/or modify
9it under the terms of the GNU Lesser General Public License as published by
10the Free Software Foundation; either version 3 of the License, or (at your
11option) any later version.
12
13The GNU MPFR Library is distributed in the hope that it will be useful, but
14WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
15or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
16License for more details.
17
18You should have received a copy of the GNU Lesser General Public License
19along with the GNU MPFR Library; see the file COPYING.LESSER.  If not, see
20https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
2151 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
22
23#include "mpfr-test.h"
24
25#define TEST_FUNCTION mpfr_sinh
26#define TEST_RANDOM_EMIN -36
27#define TEST_RANDOM_EMAX 36
28#include "tgeneric.c"
29
30static void
31special (void)
32{
33  mpfr_t x;
34  int i;
35
36  mpfr_init (x);
37
38  mpfr_set_nan (x);
39  mpfr_sinh (x, x, MPFR_RNDN);
40  MPFR_ASSERTN(mpfr_nan_p (x));
41
42  mpfr_set_inf (x, 1);
43  mpfr_sinh (x, x, MPFR_RNDN);
44  MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) > 0);
45  mpfr_set_inf (x, -1);
46  mpfr_sinh (x, x, MPFR_RNDN);
47  MPFR_ASSERTN(mpfr_inf_p (x) && mpfr_sgn (x) < 0);
48
49  mpfr_set_prec (x, 10);
50  mpfr_set_str_binary (x, "-0.1001011001");
51  mpfr_sinh (x, x, MPFR_RNDN);
52  MPFR_ASSERTN(mpfr_cmp_si_2exp (x, -159, -8) == 0);
53
54  /* corner case */
55  mpfr_set_prec (x, 2);
56  mpfr_set_str_binary (x, "1E-6");
57  mpfr_sinh (x, x, MPFR_RNDN);
58  MPFR_ASSERTN(mpfr_cmp_ui_2exp (x, 1, -6) == 0);
59
60  mpfr_clear_flags ();
61  mpfr_set_str_binary (x, "1E1000000000");
62  i = mpfr_sinh (x, x, MPFR_RNDN);
63  MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_POS (x));
64  MPFR_ASSERTN (mpfr_overflow_p ());
65  MPFR_ASSERTN (i == 1);
66
67  mpfr_clear_flags ();
68  mpfr_set_str_binary (x, "-1E1000000000");
69  i = mpfr_sinh (x, x, MPFR_RNDN);
70  MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_NEG (x));
71  MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
72  MPFR_ASSERTN (i == -1);
73
74  mpfr_clear_flags ();
75  mpfr_set_str_binary (x, "-1E1000000000");
76  i = mpfr_sinh (x, x, MPFR_RNDD);
77  MPFR_ASSERTN (MPFR_IS_INF (x) && MPFR_IS_NEG (x));
78  MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
79  MPFR_ASSERTN (i == -1);
80
81  mpfr_clear_flags ();
82  mpfr_set_str_binary (x, "-1E1000000000");
83  i = mpfr_sinh (x, x, MPFR_RNDU);
84  MPFR_ASSERTN (!MPFR_IS_INF (x) && MPFR_IS_NEG (x));
85  MPFR_ASSERTN (mpfr_overflow_p () && !mpfr_underflow_p ());
86  MPFR_ASSERTN (i == 1);
87
88  mpfr_clear (x);
89}
90
91/* exercise mpfr_sinh near the overflow limit */
92static void
93coverage (void)
94{
95#if _MPFR_EXP_FORMAT >= 3 && ULONG_MAX == 0xffffffffffffffff
96  mpfr_t x, y;
97  int inex;
98  mpfr_exp_t emax;
99
100  emax = mpfr_get_emax ();
101  mpfr_init2 (x, 64);
102  mpfr_init2 (y, 64);
103
104  MPFR_ASSERTN(mpfr_get_emax_max () == 4611686018427387903UL); /* 2^62-1 */
105  mpfr_set_emax (mpfr_get_emax_max ());
106
107  mpfr_set_ui (x, 3196577161300663915UL, MPFR_RNDN);
108  mpfr_clear_overflow ();
109  /* exp(x) overflows, cosh(x/2)*sinh(x/2) does not overflow,
110     but 2*cosh(x/2)*sinh(x/2) overflows */
111  inex = mpfr_sinh (y, x, MPFR_RNDZ);
112  MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 18446744073709551615UL, 4611686018427387839UL) == 0);
113  MPFR_ASSERTN(inex < 0);
114  MPFR_ASSERTN(mpfr_overflow_p ());
115
116  mpfr_set_prec (x, 65);
117  mpfr_set_str (x, "3196577161300663914.5", 10, MPFR_RNDN);
118  mpfr_clear_overflow ();
119  /* exp(x) overflows, cosh(x/2)*sinh(x/2) does not overflow,
120     and 2*cosh(x/2)*sinh(x/2) does not overflow */
121  inex = mpfr_sinh (y, x, MPFR_RNDN);
122  MPFR_ASSERTN(mpfr_cmp_ui_2exp (y, 11795642775994293059UL, 4611686018427387839UL) == 0);
123  MPFR_ASSERTN(inex > 0);
124  MPFR_ASSERTN(!mpfr_overflow_p ());
125
126  mpfr_clear (x);
127  mpfr_clear (y);
128  mpfr_set_emax (emax);
129#endif
130}
131
132int
133main (int argc, char *argv[])
134{
135  tests_start_mpfr ();
136
137  coverage ();
138  special ();
139
140  test_generic (MPFR_PREC_MIN, 100, 100);
141
142  data_check ("data/sinh", mpfr_sinh, "mpfr_sinh");
143  bad_cases (mpfr_sinh, mpfr_asinh, "mpfr_sinh", 256, -256, 255,
144             4, 128, 800, 100);
145
146  tests_end_mpfr ();
147  return 0;
148}
149